%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN081+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:15:10 PM UTC 2026
% Result : Theorem 0.15s 10.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 13 ~; 8 |; 4 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 12 ( 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( big_f(X)
<=> ~ big_f(f(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
? [X] :
( ~ big_f(f(X))
& big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ? [X] :
( ~ big_f(f(X))
& big_f(X) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
! [X] :
( ( big_f(f(X))
| big_f(X) )
& ( ~ big_f(f(X))
| ~ big_f(X) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
( ! [X] :
( big_f(f(X))
| big_f(X) )
& ! [X] :
( ~ big_f(f(X))
| ~ big_f(X) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0] :
( ~ big_f(f(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0] :
( big_f(f(X0))
| big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X] :
( big_f(f(X))
| ~ big_f(X) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0] :
( big_f(f(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
! [X0] : ~ big_f(X0),
inference(forward_subsumption_resolution,[status(thm)],[f6,f9]) ).
fof(f11,plain,
! [X0] : big_f(f(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f7,f10]) ).
fof(f12,plain,
$false,
inference(resolution,[status(thm)],[f11,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN081+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/10.38 % Computer : n004.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.38 % DateTime : Mon Sep 21 10:42:30 UTC 2026
% 0.12/10.38 % CPUTime :
% 0.12/10.39 % Drodi V4.1.1
% 0.15/10.41 % Refutation found
% 0.15/10.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/10.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/10.44 % Elapsed time: 0.043107 seconds
% 0.15/10.44 % CPU time: 0.110296 seconds
% 0.15/10.44 % Total memory used: 16.408 MB
% 0.15/10.44 % Net memory used: 15.784 MB
%------------------------------------------------------------------------------